Question

asked 2021-09-19

Find an equation of the tangent line to the curve at the given point (9, 3)

\(\displaystyle{y}={\frac{{{1}}}{{\sqrt{{{x}}}}}}\)

\(\displaystyle{y}={\frac{{{1}}}{{\sqrt{{{x}}}}}}\)

asked 2021-05-31

Find an equation of the tangent line to the given curve at the specified point.

\(y=\frac{e^x}{x},(1,e)\)

\(y=\frac{e^x}{x},(1,e)\)

asked 2021-05-17

Find equations of both lines through the point (2, ?3) that are tangent to the parabola \(y = x^2 + x\).

\(y_1\)=(smaller slope quation)

\(y_2\)=(larger slope equation)

\(y_1\)=(smaller slope quation)

\(y_2\)=(larger slope equation)

asked 2021-09-24

Find equations of both lines through the point (2, ?3) that are tangent to the parabola \(\displaystyle{y}={x}^{{2}}+{x}\).

\(\displaystyle{y}_{{1}}\)=(smaller slope quation)

\(\displaystyle{y}_{{2}}\)=(larger slope equation)

\(\displaystyle{y}_{{1}}\)=(smaller slope quation)

\(\displaystyle{y}_{{2}}\)=(larger slope equation)